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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 645 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 24 and 54.
  2. 2.Find the HCF of 49 and 63.
  3. 3.Find the HCF of 18 and 14.
  4. 4.Find the LCM of 14 and 18.
  5. 5.Find the LCM of 9 and 15.
  6. 6.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  7. 7.Find the LCM of 54 and 30.
  8. 8.Find the LCM of 2, 14 and 7.
  9. 9.Find the LCM of 14, 8 and 12.
  10. 10.Find the HCF of 24 and 36.
  11. 11.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  12. 12.Find the LCM of 6, 4 and 14.
  13. 13.Find the LCM of 12, 4 and 14.
  14. 14.Find the LCM of 2, 15 and 3.
  15. 15.Find the HCF of 45 and 35.
  16. 16.Find the HCF of 72 and 56.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  18. 18.Find the LCM of 15, 7 and 14.
  19. 19.Find the LCM of 4, 5 and 2.
  20. 20.Find the LCM of 12 and 21.
  21. 21.Find the HCF of 30 and 48.
  22. 22.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  23. 23.Find the LCM of 4, 8 and 10.
  24. 24.Find the HCF of 70 and 28.
  25. 25.Find the LCM of 6, 15 and 2.
  26. 26.Find the HCF of 20 and 50.
  27. 27.Find the HCF of 50 and 20.
  28. 28.Find the LCM of 15 and 27.
  29. 29.Find the LCM of 4 and 18.
  30. 30.Find the HCF of 14 and 16.
  31. 31.Find the LCM of 8 and 6.
  32. 32.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  35. 35.Find the LCM of 32 and 20.
  36. 36.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  37. 37.Find the HCF of 52 and 65.
  38. 38.Find the LCM of 45 and 10.
  39. 39.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?

Answer key

  1. 216
  2. 7
  3. 2
  4. 126
  5. 45
  6. 21
  7. 270
  8. 14
  9. 168
  10. 12
  11. 56
  12. 84
  13. 84
  14. 30
  15. 5
  16. 8
  17. 18
  18. 210
  19. 20
  20. 84
  21. 6
  22. 12
  23. 40
  24. 14
  25. 30
  26. 10
  27. 10
  28. 135
  29. 36
  30. 2
  31. 24
  32. 8
  33. 48
  34. 16
  35. 160
  36. 30
  37. 13
  38. 90
  39. 14
  40. 14

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